General relativity: a first examination

"This textbook is suitable for a one-semester introduction to General Relativity for advanced undergraduates in physics and engineering. The book is concise so that the entire material can be covered in the one-semester time frame. Besides, the readers are introduced to the subject easily without the need for advanced mathematics. Though concise, the theory development is lucid and the readers are exposed to possible analytic calculations. Full solutions to some important problems are provided, and the experimental evidence is discussed in detail."--

Preface -- Acknowledgments -- 1. Review of special relativity -- 1.1. Introduction -- 1.2. Lorentz transform -- 1.3. Physics consequences -- 1.4. Spacetime diagrams -- Problems -- 2. Vectors and tensors in spacetime -- 2.1. Metric tensor -- 2.2. Vector transforms -- 2.3. Tensor transforms -- 2.4. Forming other vectors -- 2.5. Twin problem revisited -- 2.6. Momentumand energy -- 2.7. Doppler shift -- 2.8. Gravity affects time -- 2.9. The Pound Rebka experiment -- 2.10. Global positioning system -- 2.11. Tensor equations -- Problems -- 3. Covariant differentiation, equations of motion -- 3.1. Differentiation of invariants and vectors

3.2. Differentiation of tensors -- 3.3. Gravity and the locally inertial frame -- 3.4. Local flatness theorem -- 3.5. GR equations of motion -- Problems -- 4. Curvature -- 4.1. Geodesics -- 4.2. Parallel transport -- 4.3. Curvature tensors -- 4.4. Ricci tensor, Bianchi identity, Einstein tensor -- Problems -- 5. Gravity and general relativity -- 5.1. Review of Newtonian gravity -- 5.2. Weak gravity in GR -- 5.3. Gravitational red shift -- 5.4. Einstein's field equations -- 5.5. Schwarzschild solution -- 5.6. Conserved quantities -- Massive particles --…